©TeeJay Publishers
General Homework for Book 3G
Ch 5 - scale drawings
Homework
Chapter 5
Scale Drawings
/ Enlargements
Enlargements
Exercise 1
1.
Make a neat “two-times” enlargement of each of these shapes :- (each box = 1 cm)
(a)
(b)
(c)
(d)
5 cm
3 cm
(e)
0·5 cm
6 cm
1 cm
1 cm
8 cm
1·5 cm
7 cm
2.
Make enlargements of the following using the given scale :(a)
(b)
2 cm
1 cm
4 cm
4 cm
make a three times enlargement.
4 cm
make a two times enlargement.
this is Chapter Five
page 25
©TeeJay Publishers
General Homework for Book 3G
(c)
Ch 5 - scale drawings
(d)
2 cm
5 cm
4 cm
3 cm
8 cm
reduce this shape to half its size.
reduce this shape to half its size.
Exercise 2
1.
This drawing of the side of a wooden crate is done using a scale :-
1 cm = 10 cm
(a)
Calculate the REAL width of the crate (... x 10)
(b)
Calculate the REAL height of the crate.
(c)
Calculate the length of the real diagonal support bar.
2.
10 cm
6 cm
8 cm
This cabinet has been drawn to a scale of :-
1 cm = 20 cm
4 cm
(a)
Calculate the real height of the cabinet.
(b)
Calculate the real width of the cabinet.
2·5 cm
3.
This rectangular piece of land has been purchased by Tisco.
A new superstore has to be constructed on it.
The scale is :(a)
(b)
1 cm = 25 metres.
Calculate the real length and the
real breadth of the land.
5 cm
TISCO
Calculate the perimeter of the
rectangular piece of land.
8 cm
this is Chapter Five
page 26
cont’d .......
©TeeJay Publishers
General Homework for Book 3G
4.
Ch 5 - scale drawings
When this caravan is drawn to a scale of :-
1 cm = 0·5 metres ,
its length is 9 cm.
Calculate the length of the real caravan.
9 cm
5.
When this lighthouse is drawn to a scale of :-
1 cm = 2·5 metres ,
18 cm
its height is 18 cm.
Calculate the real height of the lighthouse.
6.
When this cello is drawn to a scale of :-
1 cm = 0·2 metres
its length is 6 cm.
6 cm
Exercise 3
Calculate the real length of the cello.
You will need a ruler in this exercise
3 metres
1.
This is a “rough” sketch of Edward’s bedroom.
2 metres
Make an accurate scale drawing of his room
using a simple scale of :-
1 cm = 1 metre.
2.
This door frame measures 150 centimetres
by 90 centimetres.
Make a scale drawing of the door frame
using a scale :-
150 cm
1 cm represents 30 cm.
90 cm
this is Chapter Five
page 27
cont’d ......
©TeeJay Publishers
3.
General Homework for Book 3G
Shown is a metal support for a hanging .
flower basket. It is in the shape of a
right angled triangle.
Ch 5 - scale drawings
24 cm
Make a neat scale drawing of the support
using a scale of :-
64 cm
1 cm = 8 cm.
4.
This sketch shows the plan of the side wall of
a small theatre.
THEATRE
Make a scale drawing of it using a scale of :-
1 cm represents 2 metres.
(Show the door in your drawing)
1m
3m
2m
30 m
5.
(a)
Make a scale drawing of this gymnastic arena.
S
P
25 m
R
40 m
Q
(b)
Helga somersaults from corner S to corner Q.
Show this as a dotted line on your drawing.
(c)
Measure the length of the dotted line on your drawing in centimetres.
(d)
Calculate the real distance somersaulted by Helga in metres.
Exercise 4
1.
scale :- 1 cm = 5 metres.
You will need a ruler and protractor in this exercise
H
The sketch shows a flag pole supported by a wire (AH).
The distance from A to B is 4 metres. ∠HAB = 50°.
(a) Make a scale drawing using a scale :-
1 cm = 2 metres.
(b)
Use your drawing to calculate the real
height of the flag pole.
this is Chapter Five
page 28
A 50°
4m
B
12 m
©TeeJay Publishers
2.
(a)
General Homework for Book 3G
Ch 5 - scale drawings
T
Make a scale drawing to show this tree as it is
viewed from point A.
scale :- 1 cm = 2 metres.
(b)
Now, find the height of the real tree.
A
30°
B
20 metres
3.
For both of these sketches :–
(i)
(ii)
Make a scale drawing using the given scale.
Calculate the real height of the given object.
(a)
(b)
Kite
monument
scale :1 cm = 5 m
rope
scale :1 cm = 20 m
40°
55°
100 metres
20 metres
N
Exercise 5
1.
Make a copy of this compass rose and
fill in the eight directions shown.
2.
How many degrees are there from :-
Copy
(a) North to South (clockwise)
(b) North to West (clockwise)
(c) North to North-West (clockwise)
(d) North West to South (clockwise)
(e) South-West to South-East (clockwise) (f) N.W. to S.W. (anti-clockwise) ?
3.
(a) Joe was facing South-East. He then made a
In which direction is Joe now facing ?
1
4
turn clockwise.
(b) Helen and Dave were facing North West. They then turned through 90°
anti-clockwise.
In which direction did they end up facing ?
this is Chapter Five
page 29
©TeeJay Publishers
4.
General Homework for Book 3G
Ch 5 - scale drawings
A racing yacht and a cruise liner leave harbour (H) at the same time.
yacht
30 km
H
•
60 km
cruise liner
The yacht travels 30 kilometres North West. The liner sails 60 kilometres due East.
(a)
Make a scale drawing of the two journeys.
scale
5.
1 cm = 10 km.
(b)
Measure the distance between the two boats in centimetres.
(c)
Now calculate the real distance between them in kilometres.
Two helicopters leave Stanstead Airport in London.
N
Stanstead
Airport
80 km
120 km
One flies South West for 80 kilometres.
The other flies South East for 120 kilometres.
(a)
Make a scale drawing of the two flights.
scale 1 cm = 20 km.
(b)
Measure the distance between the two helicopters, in centimetres.
(c)
Now calculate the real distance between the two helicopters, in kilometres.
this is Chapter Five
page 30
©TeeJay Publishers
General Homework for Book 3G
Ch 5 - scale drawings
Exercise 6E
1.
2.
3.
Look at these “scales”.
(a) 1 cm to 20 cm.
What would you MULTIPLY any measurement on your scale
drawing by to obtain the real length ?
(b) 1 cm to
What would you MULTIPLY any measurement on your scale
1
2
m
drawing by to obtain the real length ?
(c) 1 : 15
What would you MULTIPLY any measurement on your scale
drawing by to obtain the real length ?
(d) 1 cm to 10 cm
What would you DIVIDE a REAL length by to decide what
its length should be in your scale drawing ?
(e) 1 cm to 5 m
What would you DIVIDE a REAL length by to decide what
its length should be in your scale drawing ? (careful !)
Measure these lines with a ruler and use the given scales to find the
“real life” distance the lines represent :–
(a)
Scale 1 cm to 50 cm.
(b)
Scale 1 cm to 2 m.
(c)
Scale 1 : 5000.
This model bicycle was made to a scale of 1 cm to 25 cm.
(a) Measure the length of the bike in the drawing above.
(b) Use the scale (1 cm = 25 cm) to find the length of the real bicycle.
4.
The drawing of a football pitch is done to a
scale of 1 cm to 20 metres.
(a) Measure the length of the pitch.
(b) Calculate the length of the real pitch.
this is Chapter Five
page 31
©TeeJay Publishers
General Homework for Book 3G
Ch 5 - scale drawings
Exercise 7E
1.
Calculate the REAL lengths/heights of these models, given their model
lengths or heights along with their scale factors :–
(a) A model train, length 9 cm.
(scale factor 100).
(b) A model yacht, length 11·5 cm.
(scale factor 50).
(c) A model spaceship, height 12·8 cm.
(scale factor 200).
2.
A model of a Tyrannosaurus is 20 centimetres long.
The scale of the model is 1 : 40.
What is the real length of the Tyrannosaurus ?
20 cm
3.
Drawings are made of some objects. Calculate the heights of the objects in the
drawings given their real heights and scale factors :–
(a) A flagpole 8 metres high.
1
(scale factor 100
) (i.e. 800 cm ÷ 100)
1
(scale factor 50
)
(b) A house 450 centimetres high
1
(scale factor 200
)
(c) A set of ladders 620 cm long.
4.
A model of a toy soldier has a model sword.
120 cm
The scale of the model is 1 : 15.
If the length of his real sword is 120 cm, what
is the length of the model sword ?
5.
The elephant in this picture is to be drawn
1
25
of its real life size.
If the actual elephant is 3·5 metres tall, what will
the height of the elephant be in the picture ?
6.
These two arrows are SIMILAR.
(a) Write down the scale factor from
the smaller arrow to the larger one.
(it is not a whole number)
€
(b) Use this information to find the height
of the larger arrow given the height of
the smaller one is 5 cm.
€
this is Chapter Five
page 32
8 cm
12 cm